半无限深透水地基上闸底板渗流场的解析分析

Theoretical Analysis of SeepageUnder Sluice Base Plate in Homogeneus Media

本文利用复变函数的许瓦尔兹－克力斯托夫变换，给出了闸底板下半无限深渗流场的解析解，指出了闸底板杨压力计算中直线比例法的理论基础和误差．为进一步利用解析方法求解闸底板复杂渗流边界条件下的精确解打下了基础．

Schwartz-Christoffel conformal transformation has been applied for the theoreticalsolution of seepage under sluice base plate in homogeneus media. For calculating the uplift p.ressure on sluice base plate,the theoretical basis and error on safe side of linear distribution assumption are discussed,and further application can be made for more complicated boundary condition of sluice foundation.